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Beyond Pythagoras

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Introduction

Beyond Pythagoras

The numbers 3,4 and 5 satisfy the condition;

                3image01.png+4image02.png=5image00.pngimage02.png

Because        3image00.pngimage02.png=3x3=9

                4image00.pngimage02.png=4x4=16

                5image00.pngimage02.png=5image00.pngx5=25

Therefor

image11.pngimage00.pngimage00.pngimage12.png

The numbers 5,12

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Middle

Because        5image02.png=5image00.pngx5=25

                12image02.png=12x12=144

                13image00.pngimage02.png=13x13=169

Therefor

image03.pngimage04.pngimage00.pngimage05.png

And the numbers 7,24 and 25 satisfy the condition too;

                7image00.pngimage02.png+24image02.png=25image02.png

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Conclusion

2+2n)+(2n2+2n)+(2n2+2n+1) is the paremeter and (2n+1)(2n2+2n)

2

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